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Fractions and Decimals

Fractions and Decimals
The rational number for recurring decimal 0.125125.... is:

125/99
125/100
125/999
125/1000

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

                           _0.125125... = 0.125 =125/999

Fractions and Decimals
0.008 x 0.3 = ? a) 0.24 b) 0.0240 c) 0.204 d) 0.0024

0.024
0.24
0.00024
0.0024

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Given expression is, 0.008 x 0.3The multiplication value without decimal point = 8 x 3 = 24Sum of the number of decimal places in the given numbers = 3 + 1 = 4Now, in the product, the decimal point is marked off to obtain as many places of decimal.Then the answer is 0.0024.

Fractions and Decimals
Which of the following fraction are in ascending order ?

16/19, 17/22, 11/14
17/22, 11/14, 16/19
11/14, 16/19, 17/22
16/19, 11/14, 17/22

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

16/19 =0.842,11/14 =0.785 and 17/22 = 0.772∴ 0.772 < 0.785 < 0.842or 17/22 < 11/14 < 16/19.

Fractions and Decimals
138.009 + 341.981 - 146.305 = 123.6 + ?

210.085
21.0085
2.10085
21.0085

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

Let 138.009 + 341.981 - 146.305 = 123.6 + zThen, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

Fractions and Decimals
Find the value of 1/3 + 1/15 + 1/35 + 1/63 + 1/99 .

9/11
7/11
5/11
10/11

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

1/3 + 1/15 + 1/35 + 1/63 + 1/99= [1/3 + 1/15] + 1/35 + 1/63 + 1/99 = [6/15 + 1/35] + 1/63 + 1/99= 45/105 + 1/63 + 1/99 = [3/7 + 1/63] + 1/99= 28/63 + 1/99 = 4/9 + 1/99= 44 + 1/99 = 45/99 = 5/11

Fractions and Decimals
If 1.5 x a = 0.04 x b then the value of (b - a) / ( b + a) is ?

73/770
730/77
73/77
None of these

ANSWER EXPLANATION DOWNLOAD EXAMIANS APP

a / b = 0.04 / 1.5 = 4 / 150 = 2 / 75∴ Given Exp. (b - a) / ( b + a)= (1- a/b ) / (1 + a/b) = (1- 2 / 75) / (1 + 2 / 75)= ( 73/75 ) / ( 77/75)= 73/77

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